{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# SDE simulations and statistics\n",
    "\n",
    "## Contents\n",
    "   - [Brownian motion](#sec1)\n",
    "      - [Confidence interval](#sec1.2)\n",
    "      - [Hypothesis testing](#sec1.3)\n",
    "   - [Geometric Brownian motion](#sec2)\n",
    "   - [CIR process](#sec3)\n",
    "      - [Euler-Maruyama method](#sec3.1)\n",
    "      - [Parameter estimation](#sec3.2)\n",
    "      - [Change of variables](#sec3.3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import scipy as scp\n",
    "import scipy.stats as ss\n",
    "import matplotlib.pyplot as plt\n",
    "from statsmodels.graphics.gofplots import qqplot\n",
    "from scipy.special import iv\n",
    "from scipy.optimize import minimize"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a id='sec1'></a>\n",
    "# Brownian motion\n",
    "\n",
    "Let us simulate some Brownian paths.    \n",
    "Remember that the (standard) Brownian motion $\\{X_t\\}_{t\\geq 0}$ is a continuous time stochastic process, that satisfies the following properties:\n",
    "- $X_{0} = 0$.\n",
    "- The increments are stationary and independent. (see **A3** for the definition)\n",
    "- It is a martingale.\n",
    "- It has continuous paths, but nowhere differentiable.\n",
    "- $X_t - X_s \\sim \\mathcal{N}(0,t-s)$ for $t\\geq s \\geq 0$.\n",
    "\n",
    "For more info see here [wiki](https://en.wikipedia.org/wiki/Brownian_motion).\n",
    "\n",
    "In our simulation, each increments is such that:\n",
    "\n",
    "$$ X_{t_i+\\Delta t} - X_{t_i} = \\Delta X_i \\sim \\mathcal{N}(\\mu \\Delta t,\\, \\sigma^2 \\Delta t). $$\n",
    "\n",
    "The process at time T is given by $X_T = \\sum_i \\Delta X_i$ and follows the distribution:\n",
    "\n",
    "$$ X_T \\sim \\mathcal{N}(\\mu T,\\, \\sigma^2 T). $$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# scipy.stats uses numpy.random to generate its random numbers\n",
    "np.random.seed(seed=42)\n",
    "\n",
    "paths = 4000  # number of paths\n",
    "steps = 1000  # number of time steps\n",
    "\n",
    "mu = 0.1  # drift\n",
    "sig = 0.2  # diffusion coefficient or volatility\n",
    "T = 100\n",
    "T_vec, dt = np.linspace(0, T, steps, retstep=True)\n",
    "\n",
    "X0 = np.zeros((paths, 1))  # each path starts at zero\n",
    "increments = ss.norm.rvs(loc=mu * dt, scale=np.sqrt(dt) * sig, size=(paths, steps - 1))\n",
    "\n",
    "X = np.concatenate((X0, increments), axis=1).cumsum(1)\n",
    "\n",
    "plt.plot(T_vec, X.T)\n",
    "plt.title(\"Brownian paths\")\n",
    "plt.xlabel(\"T\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we consider the terminal values of each path.  These values should give us some indications about the distribution of $X_T$.\n",
    "\n",
    "We expect to have $\\mathbb{E}[X_T] = \\mu T$ and $Std[X_T] = \\sigma \\sqrt{T}$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Expectation of X at time T: 9.9827\n",
      "Standard Deviation of X at time T: 1.9964\n"
     ]
    }
   ],
   "source": [
    "X_end = X[:, -1]\n",
    "print(\"Expectation of X at time T: {:.4f}\".format(X_end.mean()))\n",
    "print(\"Standard Deviation of X at time T: {:.4f}\".format(X_end.std(ddof=1)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here I'm using the unbiased standard deviation estimator, with one degree of freedom i.e. `ddof=1`. Since the number of steps is quite big, there is no big difference between this and other possible estimators.    \n",
    "Let us recall that a common alternative is the MLE (maximum likelihood estimator), with `ddof=0`."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a id='sec1.2'></a>\n",
    "## Confidence intervals\n",
    "\n",
    "Ok... what we have seen so far was quite easy. Right? \n",
    "\n",
    "But... we want to be precise!  We want to associate a confidence interval to each estimated parameter!    \n",
    "In other words, we want to indicate how close the sample statistic (the estimated parameter) is to the population parameter (the real value of the parameter).\n",
    "\n",
    "We can find an interval of values that contains the real parameter, with a confidence level of $(1-\\alpha)100\\%$, for $0<\\alpha<1$. This is called **confidence interval**.\n",
    "\n",
    "Let us introduce some basic concepts:\n",
    "\n",
    "Let $X_i$ i.i.d (independent and identical distributed), for $1\\leq i \\leq n$, with $\\mathbb{E}[X_i]=\\mu$ and $Var[X_i] = \\sigma^2$.    \n",
    "We call $\\bar{X} = \\frac{1}{n}\\sum_{i=1}^n X_i$.\n",
    "- $\\bar{X}$ has expectation: $\\mathbb{E}[\\bar{X}] = \\frac{1}{n}\\sum_{i=1}^n \\mathbb{E}[X_i] = \\mu$.\n",
    "- $\\bar{X}$ has variance: $Var[\\bar{X}] = \\frac{1}{n^2} Var[\\sum_{i=1}^n X_i] = \\frac{1}{n^2} \\sum_{i=1}^n Var[X_i] = \\frac{\\sigma^2}{n}$.\n",
    "- Central limit theorem: $$ Z_n = \\frac{\\bar{X} - \\mu}{\\frac{\\sigma}{\\sqrt{n}}} \\underset{n\\to \\infty}{\\to} Z \\sim \\mathcal{N}(0,1) $$\n",
    "\n",
    "##### Normal distributed variables \n",
    "For $Z \\sim \\mathcal{N}(0,1)$, we call $z_{\\alpha/2}$ the value such that:\n",
    "\n",
    "$$ \\mathbb{P}(Z< -z_{\\alpha/2}) = \\mathbb{P}(Z > z_{\\alpha/2}) = \\alpha/2 $$\n",
    "\n",
    "Let $X_i \\sim \\mathcal{N}(\\mu,\\sigma^2)$. **Let us assume $\\sigma$ is known**.\n",
    "\n",
    "The sum of normal random variables is again normal, i.e. \n",
    "$\\sum_{i=1}^n X_i \\sim \\mathcal{N}(n\\mu,n\\sigma^2)$, therefore we have that $\\bar{X} \\sim \\mathcal{N}(\\mu,\\frac{\\sigma^2}{n})$. We can standardize and obtain $Z = \\frac{\\bar{X} - \\mu}{\\frac{\\sigma}{\\sqrt{n}}} \\sim \\mathcal{N}(0,1) $.     \n",
    "\n",
    "We can write:\n",
    "\n",
    "$$ \\begin{aligned}\n",
    "(1 - \\alpha) &= \\mathbb{P} \\biggl( -z_{\\alpha/2} < \\frac{\\bar{X} - \\mu}{\\frac{\\sigma}{\\sqrt{n}}} < z_{\\alpha/2} \\biggr) \\\\\n",
    "             &= \\mathbb{P} \\biggl(\\bar{X} - z_{\\alpha/2} \\frac{\\sigma}{\\sqrt{n}} <  \\mu < \\bar{X} + z_{\\alpha/2} \\frac{\\sigma}{\\sqrt{n}} \\biggr)\n",
    "\\end{aligned} $$\n",
    "\n",
    "Then, the $(1 - \\alpha)100\\%$ confidence interval for the mean $\\mu$ is:\n",
    "\n",
    "$$ \\biggr[ \\bar{x} - z_{\\alpha/2} \\frac{\\sigma}{\\sqrt{n}} \\, , \\; \\bar{x} + z_{\\alpha/2} \\frac{\\sigma}{\\sqrt{n}} \\biggr] $$\n",
    "\n",
    "where $\\bar{x}$ is one realization of $\\bar{X}$.    \n",
    "Recall that confidence intervals are random variables, and can have different values for different samples!\n",
    "\n",
    "Usually it is common to calculate the $95\\%$ confidence interval.     \n",
    "For a $95\\%$ confidence interval, $1-\\alpha = 0.95$, so that $\\alpha/2 = 0.025$, and $z_{0.025} = 1.96$.\n",
    "\n",
    "Let $X_i \\sim \\mathcal{N}(\\mu,\\sigma^2)$. **Let us assume $\\sigma$ is unknown**.\n",
    "\n",
    "We can consider instead the [sample variance](https://en.wikipedia.org/wiki/Variance#Sample_variance) (unbiased version, $\\mathbb{E}[S^2] = \\sigma^2$):\n",
    "\n",
    "$$ S^2 = \\frac{1}{n-1} \\sum_{i=1}^{n} (X_i - \\bar{X})^2 $$\n",
    "and the statistics\n",
    "$$ T = \\frac{\\bar{X} - \\mu}{\\frac{S}{\\sqrt{n}}} $$\n",
    "\n",
    "Let us recall that:\n",
    "- $\\bar{X}$ and $S^2$ are independent.\n",
    "- $S^2 \\sim \\frac{\\sigma^2}{n-1} \\chi^2_{n-1}.$\n",
    "- $T \\sim t_{n-1}$ (**student t distribution**) [wiki]().\n",
    "\n",
    "Following the same steps as above, we can compute the **t-confidence interval for the mean**:\n",
    "\n",
    "$$ \\biggr[ \\bar{x} - t_{\\alpha/2,n-1} \\frac{s}{\\sqrt{n}} \\, , \\; \\bar{x} + t_{\\alpha/2,n-1} \\frac{s}{\\sqrt{n}} \\biggr] $$\n",
    "\n",
    "where $\\bar{x}$ and $s$ are realizations of $\\bar{X}$ and $S$.    \n",
    "For $T \\sim t_{n-1}$, we call $t_{\\alpha/2,n-1}$ the value such that: \n",
    "\n",
    "$$ \\mathbb{P}(T< -t_{\\alpha/2,n-1}) = \\mathbb{P}(T > t_{\\alpha/2,n-1}) = \\alpha/2. $$\n",
    "\n",
    "Recall that the student t density is symmetric.     \n",
    "The term $\\frac{s}{\\sqrt{n}}$ is called **standard error** for the mean.\n",
    "\n",
    "For big $n$ the values of $t_{\\alpha/2,n-1}$ and $z_{\\alpha/2}$ are very close. Therefore they are interchangeable.\n",
    "\n",
    "\n",
    "##### Non-normal data\n",
    "\n",
    "Thanks to the central limit theorem, the ratio $\\frac{\\bar{X} - \\mu}{\\frac{s}{\\sqrt{n}}}$ approaches a standard normal distribution for $n$ big enough.  In general $n>30$ is enough.    \n",
    "\n",
    "\n",
    "#### Confidence intervals for the variance\n",
    "\n",
    "The Chi-square distribution is asymmetric, therefore we define $a = \\chi^2_{1-\\alpha/2,n-1}$ and $b = \\chi^2_{\\alpha/2,n-1}$ and write:\n",
    "\n",
    "\\begin{align*}\n",
    "(1 - \\alpha) &= \\mathbb{P} \\biggl( a < \\frac{(n-1) S^2}{\\sigma^2} < b \\biggr) \\\\\n",
    "             &= \\mathbb{P} \\biggl( \\frac{(n-1) S^2}{b} <  \\sigma^2 < \\frac{(n-1) S^2}{a} \\biggr)\n",
    "\\end{align*}\n",
    "\n",
    "The confidence interval for the variance is therefore:\n",
    "\n",
    "$$ \\biggl[ \\frac{(n-1) S^2}{b} \\, , \\, \\frac{(n-1) S^2}{a} \\biggr] .$$\n",
    "\n",
    "For the standard deviation $\\sigma$, the confidence interval is:\n",
    "\n",
    "$$ \\biggl[ \\sqrt{\\frac{(n-1) S^2}{b}} \\, , \\, \\sqrt{\\frac{(n-1) S^2}{a}} \\biggr] .$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "###### A step back\n",
    "Ok... cool... a lot of theory.     \n",
    "Let's see how it works in practice for the terminal value of the Brownian motion $X_T$. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The expectation of the mean is: 9.982654\n",
      "The confidence interval is:  (9.920766648111107, 10.044541975623867)\n"
     ]
    }
   ],
   "source": [
    "print(\"The expectation of the mean is: {:.6f}\".format(X_end.mean()))\n",
    "print(\"The confidence interval is: \", ss.t.interval(0.95, paths - 1, loc=X_end.mean(), scale=ss.sem(X_end)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The estimated Standard Deviation is: 1.996432\n",
      "The confidence interval is:  1.9536249339404514 2.041170826805831\n"
     ]
    }
   ],
   "source": [
    "s2 = X_end.var(ddof=1)  # unbiased sample variance\n",
    "AA = s2 * (paths - 1)\n",
    "print(\"The estimated Standard Deviation is: {:.6f}\".format(X_end.std(ddof=1)))\n",
    "print(\n",
    "    \"The confidence interval is: \",\n",
    "    np.sqrt(AA / ss.chi2.ppf(0.975, df=paths - 1)),\n",
    "    np.sqrt(AA / ss.chi2.ppf(0.025, df=paths - 1)),\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Sometimes the confidence interval fails!\n",
    "\n",
    "We chose a $95\\%$ confidence interval. This means that $5\\%$ of the times it fails!\n",
    "\n",
    "In the following cell, I want to check how many times the confidence interval fails to contain the population mean (in this case it is $\\mu T = 10$), if we repeat the experiment 100 times. For this purpose we just need to change the seed of the random number generator."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "seed: 23 \n",
      " 10.0 is not contained in  (9.8494, 9.9735)\n",
      "seed: 68 \n",
      " 10.0 is not contained in  (9.875, 9.9985)\n",
      "seed: 99 \n",
      " 10.0 is not contained in  (10.0291, 10.1555)\n"
     ]
    }
   ],
   "source": [
    "for n in range(100):\n",
    "    np.random.seed(seed=n)\n",
    "    XT = ss.norm.rvs(loc=mu * T, scale=np.sqrt(T) * sig, size=paths)\n",
    "    low, high = ss.t.interval(0.95, paths - 1, loc=XT.mean(), scale=ss.sem(XT))\n",
    "    if (mu * T < low) or (mu * T > high):\n",
    "        print(\"seed:\", n, \"\\n\", mu * T, \"is not contained in \", (low.round(4), high.round(4)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Well... it failed 3 times!!**\n",
    "\n",
    "The parameters can be estimated by the following `scipy.stats` function:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Parameters from the fit:  (9.982654311867487, 1.996182453394599)\n",
      "The MLE estimator for the standard deviation is:  1.996182453394599\n"
     ]
    }
   ],
   "source": [
    "param = ss.norm.fit(X_end)\n",
    "print(\"Parameters from the fit: \", param)  # these are MLE parameters\n",
    "print(\"The MLE estimator for the standard deviation is: \", np.std(X_end, ddof=0))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(X_end.min(), X_end.max(), 100)\n",
    "pdf_fitted = ss.norm.pdf(x, *param)\n",
    "\n",
    "plt.plot(x, pdf_fitted, color=\"r\", label=\"Normal\")\n",
    "plt.hist(X_end, density=True, bins=50, facecolor=\"LightBlue\", label=\"frequency of X_end\")\n",
    "plt.legend()\n",
    "plt.title(\"Histogram vs Normal distribution\")\n",
    "plt.xlabel(\"X_end\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a id='sec1.3'></a>\n",
    "## Hypothesis testing\n",
    "\n",
    "Hypothesis testing is a broad topic.     \n",
    "A summary of the topic can be found here [statistical hypothesis testing](https://en.wikipedia.org/wiki/Statistical_hypothesis_testing). The two fundamental concepts to understand are: the [Test Statistic](https://en.wikipedia.org/wiki/Test_statistic)\n",
    "and the [p-value](https://en.wikipedia.org/wiki/P-value). \n",
    "\n",
    "For what concerns practical applications, only the **p-value** is necessary. \n",
    "It is the probability of obtaining values of the test statistic more extreme than those observed in the data, assuming the null hypothesis $H_0$ being true.     \n",
    "The p-value is the smallest significance level $\\alpha$ that leads us to rejecting the null hypothesis.\n",
    "\n",
    "Here I want to use some \"classical tests\" for testing the normality of $X_T$. \n",
    "- **Shapiro-Wilk**, [doc](https://docs.scipy.org/doc/scipy/reference/generated/scipy.stats.shapiro.html)      \n",
    "  The null hypothesis $H_0$ is that the data are normally distributed.    \n",
    "  It returns the test statistics and the p-value.\n",
    "- **Jarque-Bera** [doc](https://docs.scipy.org/doc/scipy/reference/generated/scipy.stats.jarque_bera.html)     \n",
    "  The null hypothesis $H_0$ is that the data are normally distributed.    \n",
    "  It returns the test statistics and the p-value. \n",
    "- **Kolmogorov-Smirnov**, [doc](https://docs.scipy.org/doc/scipy-0.14.0/reference/generated/scipy.stats.kstest.html)    \n",
    "  It compares two distributions.     \n",
    "  The null hypothesis $H_0$ assumes the two distributions identical.\n",
    "\n",
    "Other common tests are: The [Anderson-Darling](https://docs.scipy.org/doc/scipy/reference/generated/scipy.stats.anderson.html#scipy.stats.anderson) test and the [D'Agostino](https://docs.scipy.org/doc/scipy/reference/generated/scipy.stats.normaltest.html) test.\n",
    "\n",
    "It is also quite useful to visualize the **Q-Q plot**.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- Shapiro - Wilk:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "ShapiroResult(statistic=0.9995088577270508, pvalue=0.4110822081565857)"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ss.shapiro(X_end)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Assuming a confidence level of $95\\%$. Since the p-value is not smaller that 0.05, we cannot reject $H_0$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- Jarque - Bera:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "SignificanceResult(statistic=1.8821352125475082, pvalue=0.39021102116710205)"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ss.jarque_bera(X_end)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Assuming a confidence level of $95\\%$. Since the p-value is not smaller that 0.05, we cannot reject $H_0$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- Kolmogorov - Smirnov:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "KstestResult(statistic=0.010299978780936525, pvalue=0.7857293135081154, statistic_location=8.92058869860379, statistic_sign=1)"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ss.kstest(X_end, lambda x: ss.norm.cdf(x, loc=10, scale=2))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Assuming a confidence level of $95\\%$. Since the p-value is not smaller that 0.05, we cannot reject $H_0$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- Q-Q plot:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "qqplot(X_end, line=\"s\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a id='sec2'></a>\n",
    "# Geometric Brownian Motion\n",
    "\n",
    "The GBM has the following stochastic differential equation (SDE):\n",
    "\n",
    "$$ dS_t = \\mu S_t dt + \\sigma S_t dW_t $$\n",
    "\n",
    "By applying the Itô lemma on $\\log S_t$ it is possible to solve this equation (see the computations [here](https://en.wikipedia.org/wiki/Geometric_Brownian_motion)).     \n",
    "The solution is:\n",
    "\n",
    "$$ S_t = S_0 e^{(\\mu-\\frac{1}{2}\\sigma^2)t + \\sigma W_t} $$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "np.random.seed(seed=42)\n",
    "mu = 0.1\n",
    "sig = 0.2\n",
    "T = 10\n",
    "N = 10000\n",
    "S0 = 1\n",
    "\n",
    "W = ss.norm.rvs(loc=(mu - 0.5 * sig**2) * T, scale=np.sqrt(T) * sig, size=N)\n",
    "S_T = S0 * np.exp(W)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "When we consider a lognormal random variable $S \\sim LN(\\mu, \\sigma^2)$,\n",
    "the two parameters $\\mu$ and $\\sigma$ are not the location and scale parameters of the lognormal distribution.    \n",
    "They are respectively the location and scale parameters of the normally distributed $\\ln S \\sim \\mathcal{N}(\\mu,\\sigma^2)$.    \n",
    "\n",
    "Using our specific notation $S \\sim LN(\\mu -\\frac{1}{2}\\sigma^2, \\sigma^2)$, the scale parameter is $e^{(\\mu-\\frac{1}{2}\\sigma^2)T }$ and the shape parameter is $\\sigma \\sqrt{T}$.    \n",
    "The location is zero, because the distribution starts at zero. (changing the $loc$ parameter would shift the support of the distribution on the domain $[loc,\\infty]$ )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Fitted parameters:  (0.6334937910478082, -0.003211120875913497, 2.226462581309446)\n",
      "Shape:  0.632455532033676\n",
      "Scale:  2.225540928492468\n"
     ]
    }
   ],
   "source": [
    "param_LN = ss.lognorm.fit(S_T)\n",
    "print(\"Fitted parameters: \", param_LN)\n",
    "print(\"Shape: \", sig * np.sqrt(T))\n",
    "print(\"Scale: \", np.exp((mu - 0.5 * sig**2) * T))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(S_T.min(), S_T.max(), 100)\n",
    "pdf_LN_fitted = ss.lognorm.pdf(x, *param_LN)\n",
    "\n",
    "plt.plot(x, pdf_LN_fitted, color=\"r\", label=\"Log-Normal\")\n",
    "plt.hist(S_T, density=True, bins=50, facecolor=\"LightBlue\", label=\"frequency of X_end\")\n",
    "plt.legend()\n",
    "plt.title(\"Histogram vs Log-Normal distribution\")\n",
    "plt.xlabel(\"S_T\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Parameter estimation:\n",
    "\n",
    "In order to estimate the parameters, we need to take first the logarithm of the data!\n",
    "\n",
    "The variable of interest is\n",
    "$$\\log S_T \\sim \\mathcal{N} \\biggl( (\\mu-\\frac{1}{2}\\sigma^2)T, \\sigma^2 T \\biggr)$$\n",
    "\n",
    "Now we can estimate the mean and the variance of a Normal distributed sample. This is quite easy!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Volatility or coefficient sig:  0.200682\n",
      "Drift or coefficient mu:  0.100002\n"
     ]
    }
   ],
   "source": [
    "std_S = np.std(np.log(S_T), ddof=0) / np.sqrt(T)\n",
    "mu_S = np.mean(np.log(S_T)) / T + 0.5 * std_S**2\n",
    "\n",
    "print(\"Volatility or coefficient sig: \", std_S.round(6))\n",
    "print(\"Drift or coefficient mu: \", mu_S.round(6))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Path simulation\n",
    "\n",
    "There is no need to use advanced techniques.     \n",
    "\n",
    "If we want to simulate GBM paths, it is enough to simulate Brownian paths (with the adjusted drift) and then take their exponentials!\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "np.random.seed(seed=42)\n",
    "paths = 10  # number of paths\n",
    "steps = 1000  # number of time steps\n",
    "T = 10\n",
    "T_vec, dt = np.linspace(0, T, steps, retstep=True)\n",
    "\n",
    "X0 = np.zeros((paths, 1))  # each path starts at zero\n",
    "W = ss.norm.rvs((mu - 0.5 * sig**2) * dt, np.sqrt(dt) * sig, (paths, steps - 1))\n",
    "X = np.concatenate((X0, W), axis=1).cumsum(1)\n",
    "\n",
    "S_T = np.exp(X)\n",
    "plt.plot(T_vec, S_T.T)\n",
    "plt.title(\"Geometric Brownian paths\")\n",
    "plt.xlabel(\"T\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a id='sec3'></a>\n",
    "# CIR process"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The Cox-Ingersoll-Ross process [CIR](https://en.wikipedia.org/wiki/Cox%E2%80%93Ingersoll%E2%80%93Ross_model) is described by the SDE: \n",
    "\n",
    "$$ dX_t = \\kappa (\\theta - X_t) dt + \\sigma \\sqrt{X_t} dW_t $$\n",
    "\n",
    "The parameters are:\n",
    "- $\\kappa$ mean reversion coefficient\n",
    "- $\\theta$ long term mean  \n",
    "- $\\sigma$  volatility coefficient\n",
    "\n",
    "If $2\\kappa \\theta > \\sigma^2$ (Feller condition), the process is always strictly positive!\n",
    "\n",
    "**Curiosity for mathematicians**     \n",
    "The diffusion coefficient of the CIR equation does not satisfy the Lipschitz conditions (square root is not Lipschitz)!!  However, it can be proved that the CIR equation admits a unique solution. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here I recall a common technique used to solve SDEs numerically. [wiki](https://en.wikipedia.org/wiki/Euler%E2%80%93Maruyama_method)\n",
    "\n",
    "<a id='sec3.1'></a>\n",
    "## Euler Maruyama method\n",
    "\n",
    "Let us divide the time interval $[0,T]$ in \n",
    "$$0=t_0, t_1, ..., t_{n-1}, t_n=T.$$      \n",
    "We can choose equally spaced points $t_i$ such that $\\Delta t = t_{i+1} - t_i = \\frac{T}{N}$ for each $1 \\leq i \\leq N$.\n",
    "\n",
    "A generic Itô-Diffusion SDE\n",
    "\n",
    "\\begin{align*}\n",
    "&dX_t = \\mu(t,X_t) dt + \\sigma(t, X_t) dW_t \\\\\n",
    "&X_0 = 0\n",
    "\\end{align*}\n",
    "\n",
    "can be approximated by:\n",
    "\n",
    "\\begin{align*}\n",
    "& X_{i+1} = X_i + \\mu(t_i,X_i) \\Delta t + \\sigma(t_i, X_i) \\Delta W_i \\\\\n",
    "&X_0 = 0\n",
    "\\end{align*}\n",
    "\n",
    "with $X(t_i) = X_i$ and $W(t_i) = W_i$.     \n",
    "The quantity to simulate is $W_{i+1} - W_i = \\Delta W_i \\sim \\mathcal{N}(0, \\sqrt{\\Delta t})$.\n",
    "\n",
    "Applying this method to the CIR SDE we obtain:\n",
    "\n",
    "$$ X_{i+1} = X_i + \\kappa (\\theta - X_i) \\Delta t + \\sigma \\sqrt{X_i} \\Delta W_i $$\n",
    "\n",
    "Despite the presence of the Feller condition, when we discretize the process, it is possible that $X_i$ becomes negative, creating problems in the evaluation of the square root.    \n",
    "Here I summarize the most common methods to overcome this problem:\n",
    "\n",
    "1) $ X_{i+1} = X_i + \\kappa (\\theta - X_i) \\Delta t + \\sigma \\sqrt{X_i^+} \\Delta W_i $\n",
    "\n",
    "2) $ X_{i+1} = X_i + \\kappa (\\theta - X_i^+) \\Delta t + \\sigma \\sqrt{X_i^+} \\Delta W_i $\n",
    "\n",
    "3) $ X_{i+1} = X_i + \\kappa (\\theta - X_i) \\Delta t + \\sigma \\sqrt{|X_i|} \\Delta W_i $\n",
    "\n",
    "4) $ X_{i+1} = |X_i + \\kappa (\\theta - X_i) \\Delta t + \\sigma \\sqrt{X_i} \\Delta W_i |$\n",
    "\n",
    "where ^+ indicates the positive part.     \n",
    "The methods 1) 2) and 3) just resolve the square root problem, but the process can still become negative.   \n",
    "The method 4) prevents this possibility!\n",
    "\n",
    "Let us have a look at the implementation of the **method 4)**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "np.random.seed(seed=42)\n",
    "\n",
    "N = 200001  # time steps\n",
    "paths = 2000  # number of paths\n",
    "T = 3\n",
    "T_vec, dt = np.linspace(0, T, N, retstep=True)\n",
    "\n",
    "kappa = 4\n",
    "theta = 1\n",
    "sigma = 0.5\n",
    "std_asy = np.sqrt(theta * sigma**2 / (2 * kappa))  # asymptotic standard deviation\n",
    "\n",
    "X0 = 2\n",
    "X = np.zeros((N, paths))\n",
    "X[0, :] = X0\n",
    "W = ss.norm.rvs(loc=0, scale=np.sqrt(dt), size=(N - 1, paths))\n",
    "\n",
    "for t in range(0, N - 1):\n",
    "    X[t + 1, :] = np.abs(X[t, :] + kappa * (theta - X[t, :]) * dt + sigma * np.sqrt(X[t, :]) * W[t, :])\n",
    "\n",
    "X_T = X[-1, :]  # values of X at time T\n",
    "X_1 = X[:, 0]  # a single path"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Feller condition is:  True\n"
     ]
    }
   ],
   "source": [
    "print(\"Feller condition is: \", 2 * kappa * theta > sigma**2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 5))\n",
    "plt.plot(T_vec, X_1, label=\"CIR process\")\n",
    "plt.plot(T_vec, (theta + std_asy) * np.ones_like(T_vec), label=\"1 asymptotic std dev\", color=\"black\")\n",
    "plt.plot(T_vec, (theta - std_asy) * np.ones_like(T_vec), color=\"black\")\n",
    "plt.plot(T_vec, theta * np.ones_like(T_vec), label=\"Long term mean\")\n",
    "plt.legend(loc=\"upper right\")\n",
    "plt.title(\"CIR process\")\n",
    "plt.xlabel(\"T\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In the plot above I also included the asymptotic mean and standard deviation:\n",
    "\n",
    "$$ \\mathbb{E}[X_T|X_0] \\underset{T\\to \\infty}{\\to} \\theta $$    \n",
    "$$ Var[X_T|X_0] \\underset{T\\to \\infty}{\\to} \\frac{\\theta \\sigma^2}{2\\kappa} $$    \n",
    "\n",
    "You can find the complete formulas [here](https://en.wikipedia.org/wiki/Cox%E2%80%93Ingersoll%E2%80%93Ross_model#Properties).\n",
    "\n",
    "Let us also recall that the conditional distribution of $X_T$ is a (scaled) non-central Chi-Squared distribution:\n",
    "\n",
    "$$ X_T \\sim \\frac{Y}{2c} $$\n",
    "\n",
    "with $c=\\frac{2\\kappa}{(1-e^{-kT})\\sigma^2}$, and the random variable $Y$ follows the non-central $\\chi^2$ distribution:\n",
    "\n",
    "$$ f\\bigl( y|x_0;\\, K,\\lambda \\bigr) = \\frac{1}{2} e^{-\\frac{(\\lambda+y)}{2} } \\biggl( \\frac{y}{\\lambda} \\biggr)^{ \\frac{K-2}{4} } I_{ \\frac{K-2}{2} } (\\sqrt{\\lambda y})  $$\n",
    "\n",
    "with $K=\\frac{4\\theta \\kappa}{\\sigma^2}$ degrees of freedom and non-centrality parameter $\\lambda = 2 c X_0 e^{-\\kappa T}$.   (`scipy.stats.ncx2` uses this parameterization, see [link](https://docs.scipy.org/doc/scipy/reference/generated/scipy.stats.ncx2.html))\n",
    "\n",
    "After the variable transformation, the density of $X_T$ is:\n",
    "\n",
    "$$ f(x|x_0; \\kappa,\\theta,\\sigma) = c e^{-(u+v)} \\biggl( \\frac{v}{u} \\biggr)^{q/2} I_q(2\\sqrt{uv})  $$\n",
    "\n",
    "with $q = \\frac{2\\theta \\kappa}{\\sigma^2} - 1$,  $u = c x_0 e^{-\\kappa T}$, $v = c x$. \n",
    "\n",
    "The function $I_q$ is a modified Bessel function of first kind.  See [1] for more details.\n",
    "\n",
    "The two parameterizations are related by $K=2q+2$ and $\\lambda=2u$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "def CIR_pdf(x, x0, T, k, t, s):\n",
    "    \"\"\"\n",
    "    Density of the CIR process\n",
    "    x: array value\n",
    "    x0: starting point,\n",
    "    T: terminal time,\n",
    "    k,t,s: kappa, theta, sigma\n",
    "    \"\"\"\n",
    "    c = 2 * k / ((1 - np.exp(-k * T)) * s**2)\n",
    "    q = 2 * k * t / s**2 - 1\n",
    "    u = c * x0 * np.exp(-k * T)\n",
    "    v = c * x\n",
    "\n",
    "    return c * np.exp(-u - v) * (v / u) ** (q / 2) * iv(q, 2 * np.sqrt(u * v))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a id='sec3.2'></a>\n",
    "## Parameters estimation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### OLS\n",
    "\n",
    "We can rewrite the equation as:\n",
    "\n",
    "$$ \\frac{X_{i+1} - X_i}{\\sqrt{X_i}} = \\frac{\\kappa \\theta \\Delta t}{\\sqrt{X_i}} - \\kappa \\sqrt{X_i} \\Delta t + \\sigma \\Delta W_i. $$\n",
    "\n",
    "Now we can find the parameters by OLS. \n",
    "\n",
    "$$ (\\hat{\\kappa}, \\hat{\\theta}) = \\arg \\min_{\\kappa,\\theta} \\sum_{i=0}^{N-2} \\biggl( \\frac{X_{i+1} - X_i}{\\sqrt{X_i}} - \\frac{\\kappa \\theta \\Delta t}{\\sqrt{X_i}} + \\kappa \\sqrt{X_i} \\Delta t \\biggr)^2 $$\n",
    "\n",
    "After a lot of calculations, it is possible to find an expression for $(\\hat{\\kappa}, \\hat{\\theta})$.  I will not write it in latex (it is long), but just in python in the following cell. \n",
    "\n",
    "We call:\n",
    "- $YY = \\frac{X_{i+1} - X_i}{\\sqrt{X_i}} $.    \n",
    "- $XX_1 = \\frac{1}{\\sqrt{X_i}} $.     \n",
    "- $XX_2 = \\sqrt{X_i} $.     \n",
    "\n",
    "The parameter $\\sigma$ can be estimated from the residuals. The choice of `ddof=2` is common when estimating the standard deviation of residuals in linear regressions (it corresponds to the number of parameters already estimated).\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "kappa OLS:  4.436449146267847\n",
      "theta OLS:  0.9740868705073866\n",
      "sigma OLS:  0.5001608939850056\n"
     ]
    }
   ],
   "source": [
    "# formulas for the OLS estimators kappa and theta\n",
    "num = (\n",
    "    N**2\n",
    "    - 2 * N\n",
    "    + 1\n",
    "    + sum(X_1[1:]) * sum(1 / X_1[:-1])\n",
    "    - sum(X_1[:-1]) * sum(1 / X_1[:-1])\n",
    "    - (N - 1) * sum(X_1[1:] / X_1[:-1])\n",
    ")\n",
    "den = (N**2 - 2 * N + 1 - sum(X_1[:-1]) * sum(1 / X_1[:-1])) * dt\n",
    "kappa_OLS = num / den\n",
    "theta_OLS = ((N - 1) * sum(X_1[1:]) - sum(X_1[1:] / X_1[:-1]) * sum(X_1[:-1])) / num\n",
    "\n",
    "# residuals of the regression\n",
    "YY = (X_1[1:] - X_1[:-1]) / np.sqrt(X_1[:-1])  # response variable\n",
    "XX1 = 1 / np.sqrt(X_1[:-1])  # regressor 1\n",
    "XX2 = np.sqrt(X_1[:-1])  # regressor 2\n",
    "sigma_OLS = np.std(YY - theta_OLS * kappa_OLS * dt * XX1 + dt * kappa_OLS * XX2, ddof=2) / np.sqrt(dt)\n",
    "print(\"kappa OLS: \", kappa_OLS)\n",
    "print(\"theta OLS: \", theta_OLS)\n",
    "print(\"sigma OLS: \", sigma_OLS)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If you are lazy... and you don't want to read, write or understand this extremely long OLS formula, you can use a solver for minimizing the sum of the squares. \n",
    "\n",
    "Here I'm using the `scipy.optimize` function [minimize](https://docs.scipy.org/doc/scipy/reference/generated/scipy.optimize.minimize.html).\n",
    "\n",
    "There are several algorithms that work quite well. An alternative to Nelder-Mead can be the L-BFGS-B algorithm.    \n",
    "Since the variables are positive, I'm also specifying the bounds (but it helps only for L-BFGS-B).\n",
    "\n",
    "The coefficients are given in the last row. We can see that they coincide with those obtained before."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "       message: Optimization terminated successfully.\n",
       "       success: True\n",
       "        status: 0\n",
       "           fun: 0.7504752547880302\n",
       "             x: [ 4.436e+00  9.741e-01]\n",
       "           nit: 75\n",
       "          nfev: 163\n",
       " final_simplex: (array([[ 4.436e+00,  9.741e-01],\n",
       "                       [ 4.436e+00,  9.741e-01],\n",
       "                       [ 4.436e+00,  9.741e-01]]), array([ 7.505e-01,  7.505e-01,  7.505e-01]))"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def least_sq(c):\n",
    "    return sum((YY - c[1] * c[0] * dt * XX1 + dt * c[0] * XX2) ** 2)\n",
    "\n",
    "\n",
    "minimize(least_sq, x0=[1, 1], method=\"Nelder-Mead\", bounds=[[1e-15, None], [1e-15, None]], tol=1e-8)  # L-BFGS-B"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Of course, if you change the initial parameters of the simulation, the estimation procedure can give different results.\n",
    "\n",
    "I tried to change the seed, several times.    \n",
    "After some trials, I found that $\\kappa$ is the most \"volatile\" parameter, while $\\theta$ and $\\sigma$ are quite stable.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Finally, let us compare the density with the histogram of all realizations of $X_T$.\n",
    "\n",
    "We can also use the `scipy.stats.ncx2` ([doc](https://docs.scipy.org/doc/scipy/reference/generated/scipy.stats.ncx2.html)) class to fit the scaled Non-Central Chi-Squared density. However, the results can be very different. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The `CIR_pdf` function defined above, corresponds to the function `ss.ncx2.pdf` \n",
    "after the change of parameterization."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "xxx = np.linspace(0.1, 2, 100)\n",
    "\n",
    "c = 2 * kappa / ((1 - np.exp(-kappa * T)) * sigma**2)\n",
    "q = 2 * kappa * theta / sigma**2 - 1\n",
    "u = c * X0 * np.exp(-kappa * T)\n",
    "df = 2 * q + 2  # parameter K\n",
    "nc = u * 2  # parameter lambda\n",
    "\n",
    "plt.plot(xxx, CIR_pdf(xxx, X0, T, kappa, theta, sigma), label=\"CIR_pdf\")\n",
    "plt.plot(xxx, ss.ncx2.pdf(xxx, df, nc, scale=1 / (2 * c)), label=\"ncx2\")\n",
    "plt.legend()\n",
    "plt.title(\"same density \")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1400x700 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(X_T.min(), X_T.max(), 100)\n",
    "\n",
    "plt.figure(figsize=(14, 7))\n",
    "plt.plot(x, CIR_pdf(x, X0, T, kappa, theta, sigma), label=\"original parameters\")\n",
    "plt.plot(x, CIR_pdf(x, X0, T, kappa_OLS, theta_OLS, sigma_OLS), label=\"OLS parameters\")\n",
    "plt.hist(X_T, density=True, bins=70, facecolor=\"LightBlue\", label=\"frequencies of X_T\")\n",
    "plt.legend()\n",
    "plt.title(\"Histogram vs Non-Central Chi-Squared distribution\")\n",
    "plt.xlabel(\"X_T\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "    \n",
    "In practice, when working with financial market data, we just have 1 realized path! (we just have one realization of $X_T$).     \n",
    "\n",
    "The OLS method described above is the right method to use! An alternative can be to use the MLE method, considering the conditional probability density.\n",
    "\n",
    "\n",
    "### Comment\n",
    "\n",
    "If we know the conditional density, why do we need to solve numerically the SDE?  Why can't we just generate random variables from this density?\n",
    "\n",
    "**Well, we can! And in some circumstances it is the best thing to do!**\n",
    "But the CIR process is mainly used as a model for the volatility dynamics in the Heston model, where the SDE approach is easier to implement!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a id='sec3.3'></a>\n",
    "## Change of variable"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A nice trick to solve the problem of negative values is to change variables. (this is a recurrent trick in financial math)\n",
    "\n",
    "Let us consider the log-variable:\n",
    "\n",
    "$$  Y_t = \\log X_t $$\n",
    "\n",
    "The new variable $Y_t$ can be negative for $0<X_t<1$.\n",
    "\n",
    "By Itô lemma we obtain the evolution of $Y_t$:\n",
    "\n",
    "$$ dY_t = e^{-Y_t} \\biggl[ \\kappa (\\theta - e^{Y_t}) - \\frac{1}{2}\\sigma^2 \\biggr] dt + \\sigma e^{-2 Y_t} dW_t $$\n",
    "\n",
    "Using the Euler-Maruyama method, \n",
    "\n",
    "$$ Y_{i+1} = Y_i + e^{-Y_i} \\biggl[ \\kappa (\\theta - e^{Y_i}) - \\frac{1}{2}\\sigma^2 \\biggr] \\Delta t + \\sigma e^{-2 Y_i} \\Delta W_i $$\n",
    "\n",
    "let us simulate some paths."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "np.random.seed(seed=42)\n",
    "\n",
    "N = 200001  # time steps\n",
    "paths = 2000  # number of paths\n",
    "T = 3\n",
    "T_vec, dt = np.linspace(0, T, N, retstep=True)\n",
    "\n",
    "kappa = 4\n",
    "theta = 1\n",
    "sigma = 0.5\n",
    "std_asy = np.sqrt(theta * sigma**2 / (2 * kappa))  # asymptotic standard deviation\n",
    "\n",
    "X0 = 2\n",
    "Y0 = np.log(X0)\n",
    "\n",
    "Y = np.zeros((N, paths))\n",
    "Y[0, :] = Y0\n",
    "W = ss.norm.rvs(loc=0, scale=np.sqrt(dt), size=(N - 1, paths))\n",
    "\n",
    "for t in range(0, N - 1):\n",
    "    Y[t + 1, :] = (\n",
    "        Y[t, :]\n",
    "        + np.exp(-Y[t, :]) * (kappa * (theta - np.exp(Y[t, :])) - 0.5 * sigma**2) * dt\n",
    "        + sigma * np.exp(-Y[t, :] / 2) * W[t, :]\n",
    "    )\n",
    "\n",
    "Y_T = Y[-1, :]  # values of X at time T\n",
    "Y_1 = Y[:, 0]  # a single path"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 5))\n",
    "plt.plot(T_vec, np.exp(Y_1), label=\"CIR process\")\n",
    "plt.plot(T_vec, (theta + std_asy) * np.ones_like(T_vec), label=\"1 asymptotic std dev\", color=\"black\")\n",
    "plt.plot(T_vec, (theta - std_asy) * np.ones_like(T_vec), color=\"black\")\n",
    "plt.plot(T_vec, theta * np.ones_like(T_vec), label=\"Long term mean\")\n",
    "plt.legend(loc=\"upper right\")\n",
    "plt.title(\"CIR process - by log-transformation\")\n",
    "plt.xlabel(\"T\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As expected, the path did not change. (under same parameters and same seed as before). \n",
    " \n",
    "**This is (in my opinion) the best theoretical approach!** \n",
    "\n",
    "However, in practice, this is not the perfect method. It can have several problems for small values of $N$.     \n",
    "For instance, as the algorithm involves an exponential function, it can generate huge numbers and even NaNs.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## References\n",
    "\n",
    "[1]  Cox, J.C., Ingersoll, J.E and Ross, S.A. A Theory of the Term Structure of Interest Rates.\n",
    "Econometrica, Vol. 53, No. 2 (March, 1985)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.4"
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 },
 "nbformat": 4,
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}
